Abstract
The performance of three different mixing schemes implemented in the HYbrid Coordinate Ocean Model (HYCOM), namely, K-Profile Parameterization (KPP), Goddard Institute of Space Sciences (GISS), and Mellor-Yamada (MY), is evaluated with respect to their simulation of upper ocean properties such as SST and mixed layer depth (MLD) in the tropical Indian Ocean. We analyzed interannual global HYCOM simulations without either data assimilation or SST relaxation for the recent period of 2012–2018. Our analysis shows that simulated SST is generally warmer by 1–2 °C than the observations and that there is little difference in SST between simulations by these different mixing schemes except in specific locations. The simulated MLD, irrespective of the choice of mixing scheme, in general, is deeper than observations in the tropical Indian Ocean, although this MLD bias varies with time and location depending on the mixing scheme choice. Furthermore, none of the mixing schemes analyzed consistently simulated the MLD with minimal error at all locations and for all year in the tropical Indian Ocean. Differences in the amount of cross-equatorial heat transport and the estimated thermal eddy diffusivity, especially in the eastern Indian Ocean are noted. A heat budget analysis signifies the importance of the vertical diffusive heat flux and points to the role of positive shortwave flux bias in determining the warm SST bias. The MLD biases in the simulations are not due to possible wind stress forcing errors. In addition, the wind stress-MLD relationship is stronger for these schemes compared to the observations. The KPP simulated MLD is slightly sensitive to the critical bulk Richardson number and changing it from its default value of 0.25 to 0.15 can marginally improve MLD simulation in the Indian Ocean.
Similar content being viewed by others
Data availability
The HYCOM model simulations analyzed in this study are available from the corresponding author on reasonable request. All other datasets used are publicly available, and their sources are cited in the text.
Code availability
The source code of HYCOM model used in this study is freely available from https://github.com/HYCOM.
References
Bertino L, Lisæter KA (2008) The TOPAZ monitoring and prediction system for the Atlantic and Arctic Oceans. Journal of Operational Oceanography 1(2):15–18. https://doi.org/10.1080/1755876X.2008.11020098
Bleck R (2002) An oceanic general circulation model framed in hybrid isopycnic-Cartesian Coordinates. Ocean Model 4(1):55–88. https://doi.org/10.1016/S1463-5003(01)00012-9
Canuto VM, Howard A, Cheng Y, Dubovikov MS (2001) Ocean turbulence, Part I: one point closure model, momentum and heat vertical diffusivities. J Phys Oceanogr 31:1413–1426. https://doi.org/10.1175/1520-0485(2001)031%3C1413:OTPIOP%3E2.0.CO;2
Canuto VM, Howard A, Cheng Y, Dubovikov MS (2002) Ocean turbulence, Part II: Vertical diffusivities of momentum, heat, salt, mass, and passive scalars. J Phys Oceanogr 32:240–264. https://doi.org/10.1175/1520-0485(2002)032%3C0240:OTPIVD%3E2.0.CO;2
Canuto VM, Howard AM, Cheng Y et al (2010) Ocean turbulence, III: New GISS vertical mixing scheme. Ocean Model 34(3–4):70–91. https://doi.org/10.1016/j.ocemod.2010.04.006
Carvalho JPS, Costa FB, Mignac D, Tanajura CAS (2019) Assessing the extended-range predictability of the ocean model HYCOM with the REMO ocean data assimilation system (RODAS) in the South Atlantic. Journal of Operational Oceanography. https://doi.org/10.1080/1755876X.2019.1606880
Chassignet EP, Smith LT, Halliwell GR, Bleck R (2003) North atlantic simulations with the hybrid coordinate ocean model (HYCOM): impact of the vertical coordinate choice, reference pressure, and thermobaricity. J Phys Oceanogr 33(12):2504–2526. https://doi.org/10.1175/1520-0485(2003)033<2504:NASWTH>2.0.CO;2
Chassignet EP, Hurlburt HE, Smedstad OM et al (2006) Generalized vertical coordinates for eddy-resolving global and coastal ocean forecasts. Oceanography 19:20–31. https://doi.org/10.5670/oceanog.2006.95
Chassignet EP, Hurlburt EH, Smedstad OM et al (2007) The HYCOM (Hybrid Coordinate Ocean Model) data assimilative system. J Mar Syst 65:60–83. https://doi.org/10.1016/j.jmarsys.2005.09.016
Chassignet EP, Hurlburt EH, Metzger EJ et al (2009) US GODAE: Global ocean prediction with the HYbrid Coordinate Ocean Model (HYCOM). Oceanography 22(2):64–75. https://doi.org/10.5670/oceanog.2009.39
Cresswell GR, Golding TJ (1980) Observations of a south-flowing current in the southeastern Indian Ocean. Deep-Sea Res 27A:449–466. https://doi.org/10.1016/0198-0149(80)90055-2
Cronin MF, Pelland NA, Emerson SR, Crawford WR (2015) Estimating diffusivity from the mixed layer heat and salt balances in the North Pacific. J Geophys Res Oceans 120:7346–7362. https://doi.org/10.1002/2015JC011010
D’Asaro EA (2014) Turbulence in the upper ocean mixed layer. Ann Rev Mar Sci 6:101–115. https://doi.org/10.1146/annurev-marine-010213-135138
de Boyer MC, Madec G, Fischer AS, Lazar A, Iudicone D (2004) Mixed layer depth over the global ocean: an examination of profile data and a profile-based climatology. J Geophys Res 109:C12003. https://doi.org/10.1029/2004JC002378
Durski SM, Glenn SM, Haidvogel DB (2004) Vertical mixing schemes in the coastal ocean: comparison of the level 2.5 Mellor-Yamada scheme with an enhanced version of the K profile parameterization. J Geophys Res 109:(C01015). https://doi.org/10.1029/2002JC001702.
Emery W (2015) Air-sea interactions: sea surface temperature. Encyclopedia of Atmospheric Sciences. Elsevier, pp 136–143
Emmanuel K (1999) Thermodynamic control of hurricane intensity. Nature 401:665–669. https://doi.org/10.1038/44326
Fox-Kemper B et al (2019) Challenges and prospects in ocean circulation models. Frontiers in Marine Science 6:65. https://doi.org/10.3389/fmars.2019.00065
Gao C, Zhang RH, Karnauskas KB et al (2020) Separating freshwater flux effects on ENSO in a hybrid coupled model of the tropical Pacific. Clim Dyn 54:4605–4626. https://doi.org/10.1007/s00382-020-05245-y
Girishkumar MS, Ashin K, McPhaden MJ et al (2020) Estimation of vertical heat diffusivity at the base of mixed layer in the Bay of Bengal. J Geophys Res: Oceans 125:e2019JC015402. https://doi.org/10.1029/2019JC015402
Good SA, Martin MJ, Rayner NA (2013) EN4: Quality controlled ocean temperature and salinity profiles and monthly objective analyses with uncertainty estimates. Journal of Geophysical Research: Oceans 118(12):6704–6716. https://doi.org/10.1002/2013JC009067
Griffies SM (2012) Elements of the modular ocean model (MOM): 2012 release (GFDL Ocean Group Technical Report No. 7). NOAA/Geophysical Fluid Dynamics Laboratory, Princeton, pp 614. Available at https://mom-ocean.github.io/assets/pdfs/MOM5_manual.pdf
Gurvan Madec and NEMO System Team (2019): NEMO ocean engine. Scientific Notes of Climate Modelling Center (27)–ISSN 1288–1619, Institut Pierre-Simon Laplace (IPSL)
Haidvogel DB, Arango H, Hedstrom K, Beckmann A, Malanotte-Rizzoli P (2000) Model evaluation experiments in the North Atlantic basin: simulations in nonlinear terrain-following coordinates. Dyn Atmos Oceans 32:239–281. https://doi.org/10.1016/S0377-0265(00)00049-X
Halliwell GR (2004) Evaluation of vertical coordinate and vertical mixing algorithms in the Hybrid-Coordinate Ocean Model (HYCOM). Ocean Model 7:285–322. https://doi.org/10.1016/j.ocemod.2003.10.002
Hazeleger W, Haarsma RJ (2005) Sensitivity of tropical Atlantic climate to mixing in a coupled ocean-atmosphere model. Clim Dyn 25:387–399. https://doi.org/10.1007/s00382-005-0047-y
Huang B, Xue Y, Zhang D et al (2010) The NCEP GODAS ocean analysis of the tropical pacific mixed layer heat budget on seasonal to interannual time scales. J Climate 23:901–4905. https://doi.org/10.1175/2010JCLI3373.1
Jochum M (2009) Impact of latitudinal variations in vertical diffusivity on climate simulations. J Geophys Res 114:C01010. https://doi.org/10.1029/2008JC005030
Jochum M, Murtugudde R, Ferrari R, Malanotte-Rizzoli P (2005) The impact of horizontal resolution on the tropical heat budget in an Atlantic ocean model. J Climate 18:841–851. https://doi.org/10.1175/JCLI-3288.1
Joseph S, Srinivasu U, Vijay P et al (2018) A Report on implementation of operational Global and Indian Ocean HYCOM at INCOIS. INCOIS Technical Report No. ESSO/INCOIS/CSG/TR/01(2018). https://incois.gov.in/documents/TechnicalReports/ESSO-INCOIS-CSG-TR-01-2018.pdf
Kara AB, Rochford PA, Hurlburt HE (2000) An optimal definition for ocean mixed layer depth. J Geophys Res 105(16):803–16, 821. https://doi.org/10.1029/2000JC900072
Kara AB, Rochford PA, Hurlburt HE (2002) Air-Sea flux estimates and the 1997–1998 ENSO event. Boundary Layer Meteorology 103(3):439–458. https://doi.org/10.1023/A:1014945408605
Kara AB, Wallcraft AJ, Hurlburt HE (2005) A new solar radiation penetration scheme for use in ocean mixed layer studies: An application to the Black Sea using a fine resolution HYbrid Coordinate Ocean Model (HYCOM). J Phys Oceanog 35:13–32. https://doi.org/10.1175/JPO2677.1f
Kara AB, Wallcraft AJ, Martin PJ, Chassignet EP (2008) Performance of mixed layer models in simulating the SST in the equatorial Pacific Ocean. J Geophys Res: Oceans. 113(2). https://doi.org/10.1029/2007JC004250
Kim H, Lozano C, Tallapragada V, Iredell D, Sheinin D, Hl T, Gerald VM, Sims J (2014) Performance of Ocean Simulations in the Coupled HWRF–HYCOM Model. J Atmos Oceanic Technol 31:545–559. https://doi.org/10.1175/JTECH-D-13-00013.1
Large WG, McWilliams JC, Doney SC (1994) Oceanic vertical mixing: a review and a model with a nonlocal boundary layer parameterization. Rev Geophys 32:363–403. https://doi.org/10.1029/94RG01872
Large WG, Danabasoglu G, Doney SC, McWilliams JC (1997) Sensitivity to surface forcing and boundary layer mixing in a global ocean model: Annual-mean climatology. J Phys Oceanogr 27:2418–2447. https://doi.org/10.1175/1520-0485(1997)027%3C2418:STSFAB%3E2.0.CO;2
Levitus S (1982) Climatological atlas of the world ocean. NOAA/ERL GFDL. Professional Paper 13, Princeton, N.J., 173 pp.
Locarnini RA et al (2013) World Ocean Atlas 2013, in: Levitus, S., (Eds.), Volume 1: Temperature. A. Mishonov Technical Ed.; NOAA Atlas NESDIS 73 , Silver Spring, MD, 40 pp
Maneesha K, Sadhuram Y, Prasad KVSR (2015) Role of upper ocean in the genesis, intensification and tracks of cyclones in the Bay of Bengal. Journal of Operational Oceanography. 8 (2). https://doi.org/10.1080/1755876X.2015.1087185
McPhaden MJ, Hayes SP (1990) Variability in the eastern equatorial Pacific Ocean during 1986–1988. J Geophys Res 95(C8):13195–13208. https://doi.org/10.1029/JC095iC08p13195
Mehra A, Rivin I (2010) A real time ocean forecast system for the North Atlantic Ocean. Terr Atmos Ocean Sci 21:211–228. https://doi.org/10.3319/TAO.2009.04.16.01(IWNOP)
Mellor GL, Yamada T (1982) Development of a turbulence closure model for geophysical fluid problems. Rev. Geophys. 20 (851). https://doi.org/10.1029/RG020i004p00851
Metzger EJ et al (2014) US Navy operational global ocean and Arctic ice prediction systems. Oceanography 27(3):32–43. https://doi.org/10.5670/oceanog.2014.66
Moum JN, Smyth WD (2001) Upper ocean mixing processes. In: Encyclopedia of Ocean Sciences, Elsevier. Pp 3093–3100
Moum JN, Osborn TR (1986) Mixing in the main thermocline. J Phys Oceanogr 16:1250–1259. https://doi.org/10.1175/1520-0485(1986)016%3C1250:MITMT%3E2.0.CO;2
Murray RJ (1996) Explicit generation of orthogonal grids for ocean models. J Comp Phys 126:251–273. https://doi.org/10.1006/jcph.1996.0136
Noh Y (2016) Parameterization of the ocean mixed layer and its influence on the OGCM. Chapter 5. In: Behera SK, Yamagata T (eds) Indo-Pacific climate variability and predictability, pp 135–149. https://doi.org/10.1142/9789814696623_0005
Philander SGH, Holton J, Dmowska R (1989) El Nino, La Nina, and the Southern Oscillation, 1st edn, Elsevier and Academic Press, 293 pp: Waltham, MA. ISBN: 9780125532358
Price JF, Weller RA, Pinkel R (1986) Diurnal cycling: observations and models of the upper ocean response to diurnal heating, cooling and wind mixing. J Geophys Res 91:8411–8427. https://doi.org/10.1029/JC091iC07p08411
Scannell HA, McPhaden MJ (2018) Seasonal mixed layer temperature balance in the southeastern tropical Atlantic. Journal of Geophysical Research: Oceans 123:5557–5570. https://doi.org/10.1029/2018JC014099
Schoenefeldt R, Schott FA (2006) Decadal variability of the Indian Oceancross-equatorial exchange in SODA. Geophys Res Lett 33:L08602. https://doi.org/10.1029/2006GL025891
Schott FA, Xie S-P, McCreary JP Jr (2009) Indian Ocean circulation and climate variability. Rev. Geophys. 47:RG1002. https://doi.org/10.1029/2007RG000245
Stevenson JW, Niiler PP (1983) Upper ocean heat budget during the Hawaii-to-Tahiti Shuttle Experiment. J Phys Oceanogr 13:1894–1907. https://doi.org/10.1175/1520-0485(1983)013%3C1894:UOHBDT%3E2.0.CO;2
Tanajura CAS, Santana AN, Mignac D, Lima LN, Belyaev K, Xie J-P (2014) The REMO Ocean Data Assimilation System into HYCOM (RODAS_H): general description and preliminary results. Atmospheric and Oceanic Science Letters 7(5):464–470. https://doi.org/10.3878/j.issn.1674-2834.14.0011
Troen IB, Mahrt L (1986) A simple model of the atmospheric boundary layer; sensitivity to surface evaporation. Bound Lay Meteorol 37:129–148. https://doi.org/10.1007/BF00122760
Tsujino H, Hasumi H, Suginohara N (2000) Deep pacific circulation controlled by vertical diffusivity at the lower thermocline depths. J Phys Oceanogr 30(11):2853–2865. https://doi.org/10.1175/1520-0485(2001)031<2853:DPCCBV>2.0.CO;2
Turner JS, Kraus EB (1967) A one-dimensional model of the seasonal thermocline II: the general theory and its consequences. J Phys Oceanography 29:2719–2729. https://doi.org/10.1111/j.2153-3490.1967.tb01462.x
Van Roekel LP, Adcroft A, Danabasoglu G, Griffies SM, Kauffman B, Large WG et al (2018) The KPP boundary layer scheme for the ocean: revisiting its formulation and benchmarking one-dimensional simulations relative to LES. J Adv Model Earth Syst 10:2647–2685. https://doi.org/10.1029/2018MS001336
Webster PJ, Clark C, Cherikova G et al (2002) The monsoon as a self-regulating coupled ocean—atmosphere system. In: Pearce RP (ed) Meteorology at the millenium. International Geophysics, Academic Press, vol 83, pp 198–219. https://doi.org/10.1016/S0074-6142(02)80168-1
Zhang R, Zebiak SE (2002) Effect of penetrating momentum flux over the surface boundary/mixed layer in a z-coordinate OGCM of the tropical pacific. J Phys Oceanogr 32(12). https://doi.org/10.1175/1520-0485(2002)032<3616:EOPMFO>2.0.CO;2
Zhang R-H, Yongqiang Yu, Song Z et al (2020) A review of progress in coupled ocean-atmosphere model developments for ENSO studies in China. J Oceanology Limnology 38(4):930–961. https://doi.org/10.1007/s00343-020-0157-8
Zhu Y, Zhang R-H (2019) A modified vertical mixing parameterization for its improved ocean and coupled simulations in the tropical Pacific. J Phys Oceanogr 49(1):21–37. https://doi.org/10.1175/JPO-D-18-0100.1
Zhu Y, Zhang R-H (2018) An Argo-derived background diffusivity parameterization for improved ocean simulations in the tropical Pacific. Geophys Res Lett 45:1509–1517. https://doi.org/10.1002/2017GL076269
Zweng MM, Reagan JR, Antonov JI et al (2013) World Ocean Atlas 2013. In: Levitus S, (ed) Volume 2: salinity. A. Mishonov Technical Ed.; NOAA Atlas NESDIS 74, Silver Spring, pp 39
Acknowledgements
We acknowledge the encouragement and support provided by the Director, Indian National Centre for Ocean Information Services (INCOIS), Ministry of Earth Sciences, Govt. of India. We also thank Ashwanth Srinivasan, Srinivasu Upparapalli, Girishkumar MS, Suneet Dwivedi and Allan Wallcraft (formerly at NRL, USA) for their insightful discussions. We further acknowledge the use of PyFerret program of PMEL, NOAA for the analysis and generation of graphics. This is INCOIS contribution number 458.
Funding
Indian National Centre for Ocean Information Services (INCOIS) is fully funded by the Ministry of Earth Sciences (MoES), Government of India.
Author information
Authors and Affiliations
Contributions
Vijay Pottapinjara and Sudheer Joseph designed the study. Vijay Pottapinjara conducted model experiments, analyzed the data, and prepared the first draft. Both authors interpreted the results, read, commented on previous versions, and approved the final manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no competing interests.
Supplementary Information
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Pottapinjara, V., Joseph, S. Evaluation of mixing schemes in the HYbrid Coordinate Ocean Model (HYCOM) in the tropical Indian Ocean. Ocean Dynamics 72, 341–359 (2022). https://doi.org/10.1007/s10236-022-01510-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10236-022-01510-2